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Finding the Fourth Proportional to 9,596.97, 13,249.94 and 7,354.71

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Solution

The fourth proportional to 9,596.97, 13,249.94 and 7,354.71 is: 10,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.97 : 13,249.94 = 7,354.71 : x
  2. Step 2: Convert to fraction form
    9,596.97/13,249.94 = 7,354.71/x
  3. Step 3: Cross multiply
    9,596.97x = 13,249.94 × 7,354.71
  4. Step 4: Simplify right side
    9,596.97x = 97,449,429.44
  5. Step 5: Solve for x
    x = 97,449,429.44/9,596.97
  6. Step 6: Final answer
    x = 10,154.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.